Multiple points of transient random walks
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- by Joel H. Pitt PDF
- Proc. Amer. Math. Soc. 43 (1974), 195-199 Request permission
Abstract:
We determine the asymptotic behavior of the expected numbers of points visited exactly $j$ times and at least $j$ times in the first $n$ steps of a transient random walk on a discrete Abelian group. We prove that the strong law of large numbers holds for these multiple point ranges.References
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- Frank Spitzer, Principles of random walk, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1964. MR 0171290
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 195-199
- MSC: Primary 60J15
- DOI: https://doi.org/10.1090/S0002-9939-1974-0386021-0
- MathSciNet review: 0386021